x = Cindy's age six years ago

5x = James' age 6 years ago ← he was five times Cindy

x + 18 = Cindy's age in 12 years ← she was x, six years ago

5x + 18 = James' age in 12 years ← he was 5x, six years ago

5x + 18 = 2(x + 18) ← twelve years from now, James will be twice Cindy

5x + 18 = 2x + 36 ← distributive property

3x = 18 ← subtracted 2x and 18

x = 6 ← divided by 3

5x = 30 ← substituted

Cindy was 6, six years ago.....she is 12 now

James was 30, six years ago....he is 36 now

Cindy will be 12 in two years

James will be 38 in 2 years

Their average in 2 years will be:

38 + 12

---------

2

**= 25**- Proof

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